The point is to subvert conventions such as:
“‘many’ refers to countable items”
As a result, “much noun” would be fine. “many noun” is ungrammatical and probably wouldn’t be criticized as “too coherent” but there doesn’t seem to be any rule in doge to prevent “much noun” which I think is actually funnier because it’s even less coherent than “many noun”.
The number of people jumping in to correct usage of a dialect that was purposefully constructed to subvert grammatical rules for the sake of lulz is itself pretty lulzy.